OK, let's crack this. We're given 872 and our task is to multiply it by 44. Essentially, we'll be adding 872 to itself 44 times.
Step 1: 0 + 872 = 872
Step 2: 872 + 872 = 1744
Step 3: 1744 + 872 = 2616
Step 4: 2616 + 872 = 3488
Step 5: 3488 + 872 = 4360
Step 6: 4360 + 872 = 5232
Step 7: 5232 + 872 = 6104
Step 8: 6104 + 872 = 6976
Step 9: 6976 + 872 = 7848
Step 10: 7848 + 872 = 8720
Step 11: 8720 + 872 = 9592
Step 12: 9592 + 872 = 10464
Step 13: 10464 + 872 = 11336
Step 14: 11336 + 872 = 12208
Step 15: 12208 + 872 = 13080
Step 16: 13080 + 872 = 13952
Step 17: 13952 + 872 = 14824
Step 18: 14824 + 872 = 15696
Step 19: 15696 + 872 = 16568
Step 20: 16568 + 872 = 17440
Step 21: 17440 + 872 = 18312
Step 22: 18312 + 872 = 19184
Step 23: 19184 + 872 = 20056
Step 24: 20056 + 872 = 20928
Step 25: 20928 + 872 = 21800
Step 26: 21800 + 872 = 22672
Step 27: 22672 + 872 = 23544
Step 28: 23544 + 872 = 24416
Step 29: 24416 + 872 = 25288
Step 30: 25288 + 872 = 26160
Step 31: 26160 + 872 = 27032
Step 32: 27032 + 872 = 27904
Step 33: 27904 + 872 = 28776
Step 34: 28776 + 872 = 29648
Step 35: 29648 + 872 = 30520
Step 36: 30520 + 872 = 31392
Step 37: 31392 + 872 = 32264
Step 38: 32264 + 872 = 33136
Step 39: 33136 + 872 = 34008
Step 40: 34008 + 872 = 34880
Step 41: 34880 + 872 = 35752
Step 42: 35752 + 872 = 36624
Step 43: 36624 + 872 = 37496
Step 44: 37496 + 872 = 38368

So, 872*44 = 38368